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Finding the Third Proportional to 103,922,032 and 145,289,118

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Solution

The third proportional to 103,922,032 and 145,289,118 is: 203,122,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,922,032 : 145,289,118 = 145,289,118 : x
  2. Step 2: Convert to fraction form
    103,922,032/145,289,118 = 145,289,118/x
  3. Step 3: Cross multiply
    103,922,032x = 145,289,118 × 145,289,118
  4. Step 4: Simplify right side
    103,922,032x = 21,108,927,809,217,924
  5. Step 5: Solve for x
    x = 21,108,927,809,217,924/103,922,032
  6. Step 6: Final answer
    x = 203,122,739.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.